Amnon Neeman

Amnon Neeman (born 10 April 1957 in Jerusalem)[1] is an Australian mathematician working in algebraic K-theory, algebraic geometry, topology, and homological algebra. He is professor emeritus at the Australian National University in Canberra and was elected to the Australian Academy of Science in 2005.[2] According to the Academy's citation, his "results on the K-theory of triangulated categories were startlingly original, and completely changed the subject."[2]

In his 2001 research monograph on triangulated categories[3] he proved his version of Brown's representability theorem for triangulated categories, leading to a new proof of Serre–Grothendieck–Verdier duality, a fundamental result in algebraic geometry.

In the course of his investigations of triangular categories, Neeman constructed new examples of Abelian categories and found a counterexample to a result that had been published by Jan-Erik Roos in 1961.[4]

References

  1. ^ CV of Amnon Neeman
  2. ^ a b "Amnon Neeman". www.science.org.au. Retrieved 2025-12-06.
  3. ^ Porter, Tim (2002). "TRIANGULATED CATEGORIES (Annals of Mathematics Studies 148) By AMNON NEEMAN: 449 pp., £22.95, ISBN 0-691-08686-9 (Princeton University Press, 2001)". Bulletin of the London Mathematical Society. 34 (2): 243–256.
  4. ^ Neeman, Amnon (2002-05-01). "A counterexample to a 1961 "theorem" in homological algebra" (PDF). Inventiones mathematicae. 148 (2): 397–420. doi:10.1007/s002220100197.